Ford, Neville J.Morgado, Maria L.2012-12-042012-12-042012-01-20Computers and Mathematics with Applications, 60(10), November 2012 pp. 2973–29810898-122110.1016/j.camwa.2012.01.053http://hdl.handle.net/10034/254454This is a PDF version of a preprint submitted to Elsevier. The definitive version was published in Computers and mathematics with applications and is available at www.elsevier.comThis preprint discusses the existence and uniqueness of solutions and proposes a numerical method for their approximation in the case where the initial conditions are not known and, instead, some Caputo-type conditions are given away from the origin.endistributed order equationsfractional differential equationsCaputo derivativenumerical methodsPreprintComputers and Mathematics with Applications